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Finding the Fourth Proportional to 33,031.86, 49,549.46 and 9,341.11

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Solution

The fourth proportional to 33,031.86, 49,549.46 and 9,341.11 is: 14,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.86 : 49,549.46 = 9,341.11 : x
  2. Step 2: Convert to fraction form
    33,031.86/49,549.46 = 9,341.11/x
  3. Step 3: Cross multiply
    33,031.86x = 49,549.46 × 9,341.11
  4. Step 4: Simplify right side
    33,031.86x = 462,846,971.53
  5. Step 5: Solve for x
    x = 462,846,971.53/33,031.86
  6. Step 6: Final answer
    x = 14,012.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.